A hybrid vortex method for the simulation of three‐dimensional flows | Zendy

Li Wei | Zendy; Vezza Marco | Zendy

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A hybrid vortex method for the simulation of three‐dimensional flows

Author(s) -

Li Wei,

Vezza Marco

Publication year - 2007

Publication title -

international journal for numerical methods in fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.938

H-Index - 112

eISSN - 1097-0363

pISSN - 0271-2091

DOI - 10.1002/fld.1610

Subject(s) - vorticity , discretization , vortex , vorticity equation , mathematics , fast multipole method , hexahedron , mathematical analysis , classical mechanics , multipole expansion , physics , mechanics , finite element method , quantum mechanics , thermodynamics

This paper presents an integral vorticity method for solving three‐dimensional Navier–Stokes equations. A finite volume scheme is implemented to solve the vorticity transport equation, which is discretized on a structured hexahedral mesh. A vortex sheet algorithm is used to enforce the no‐slip boundary condition through a vorticity flux at the boundary. The Biot–Savart integral is evaluated to compute the velocity field, in conjunction with a fast algorithm based on multipole expansion. This method is applied to the simulation of uniform flow past a sphere. Copyright © 2007 John Wiley & Sons, Ltd.

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